120212212120101 has 24 divisors (see below), whose sum is σ = 177965136190296. Its totient is φ = 78147175772160.

The previous prime is 120212212120097. The next prime is 120212212120177. The reversal of 120212212120101 is 101021212212021.

120212212120101 is a `hidden beast` number, since 1 + 20 + 212 + 212 + 120 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10348252596900 + 109863959523201 = 3216870^2 + 10481601^2 .

It is not a de Polignac number, because 120212212120101 - 2² = 120212212120097 is a prime.

It is a super-4 number, since 4×120212212120101⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120212212120001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81831100 + ... + 83287173.

It is an arithmetic number, because the mean of its divisors is an integer number (7415214007929).

Almost surely, 2^{120212212120101} is an apocalyptic number.

It is an amenable number.

120212212120101 is a deficient number, since it is larger than the sum of its proper divisors (57752924070195).

120212212120101 is a wasteful number, since it uses less digits than its factorization.

120212212120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165120293 (or 165120290 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 120212212120101 its reverse (101021212212021), we get a palindrome (221233424332122).

The spelling of 120212212120101 in words is "one hundred twenty trillion, two hundred twelve billion, two hundred twelve million, one hundred twenty thousand, one hundred one".